1121 - Al-Khazini publishes The Book of the Balance of Wisdom, in which he develops the concepts of gravityat-a-distance. He suggests that the gravity varies depending on its distance from the center of the universe, namely Earth[6]

14th century - Nicole Oresme derives the times-squared law for uniformly accelerated change.[7] Oresme, however, regarded this discovery as a purely intellectual exercise having no relevance to the description of any natural phenomena, and consequently failed to recognise any connection with the motion of accelerating bodies[8]

16th century - Domingo de Soto suggests that bodies falling through a homogeneous medium are uniformly accelerated.[11][12] Soto, however, did not anticipate many of the qualifications and refinements contained in Galileo's theory of falling bodies. He did not, for instance, recognise, as Galileo did, that a body would fall with a strictly uniform acceleration only in a vacuum, and that it would otherwise eventually reach a uniform terminal velocity

1658 - Christiaan Huygens experimentally discovers that balls placed anywhere inside an inverted cycloid reach the lowest point of the cycloid in the same time and thereby experimentally shows that the cycloid is the tautochrone

1834 - John Russell observes a nondecaying solitary water wave (soliton) in the Union Canal near Edinburgh and uses a water tank to study the dependence of solitary water wave velocities on wave amplitude and water depth

"One of the most important of al-Biruni's many texts is Shadows which he is thought to have written around 1021. [...] Shadows is an extremely important source for our knowledge of the history of mathematics, astronomy, and physics. It also contains important ideas such as the idea that acceleration is connected with non-uniform motion, using three rectangular coordinates to define a point in 3-space, and ideas that some see as anticipating the introduction of polar coordinates."

^Shlomo Pines (1964), "La dynamique d’Ibn Bajja", in Mélanges Alexandre Koyré, I, 442-468 [462, 468], Paris.
(cf. Abel B. Franco (October 2003). "Avempace, Projectile Motion, and Impetus Theory", Journal of the History of Ideas64 (4), p. 521-546 [543]: "Pines has also seen Avempace's idea of fatigue as a precursor to the Leibnizian idea of force which, according to him, underlies Newton's third law of motion and the concept of the "reaction" of forces.")

^Pines, Shlomo (1970). "Abu'l-Barakāt al-Baghdādī , Hibat Allah". Dictionary of Scientific Biography. 1. New York: Charles Scribner's Sons. pp. 26–28. ISBN0-684-10114-9.:
(cf. Abel B. Franco (October 2003). "Avempace, Projectile Motion, and Impetus Theory", Journal of the History of Ideas64 (4), p. 521-546 [528]: Hibat Allah Abu'l-Barakat al-Bagdadi (c.1080- after 1164/65) extrapolated the theory for the case of falling bodies in an original way in his Kitab al-Mu'tabar (The Book of that Which is Established through Personal Reflection). [...] This idea is, according to Pines, "the oldest negation of Aristotle's fundamental dynamic law [namely, that a constant force produces a uniform motion]," and is thus an "anticipation in a vague fashion of the fundamental law of classical mechanics [namely, that a force applied continuously produces acceleration].")

^Clagett (1968, p. 561), Nicole Oresme and the Medieval Geometry of Qualities and Motions; a treatise on the uniformity and difformity of intensities known as Tractatus de configurationibus qualitatum et motuum. Madison, WI: University of Wisconsin Press. ISBN0-299-04880-2.